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80x+100x-3700=1800
Use the distributive property to multiply 100 by x-37.
180x-3700=1800
Combine 80x and 100x to get 180x.
180x=1800+3700
Add 3700 to both sides.
180x=5500
Add 1800 and 3700 to get 5500.
x=\frac{5500}{180}
Divide both sides by 180.
x=\frac{275}{9}
Reduce the fraction \frac{5500}{180} to lowest terms by extracting and canceling out 20.